(Little tricky; worth extra points )

Which series of transformations shows that pentagon A is congruent to Pentagon B?


A. Reflect pentagon A over the y-axis, rotate it 180 degrees clockwise about the origin, and translate it 3 units up

B. Rotate pentagon A 90 degrees clockwise about the point (1,1) reflect it over the x-axis, and translate it 3 units to the left.

C. Rotate pentagon A 90 degrees clockwise about the origin, reflect it over the x- axis, and translate it 6 units to the left.

D. Reflect pentagon A over the y-axis and translate it 2 units to the left and 8 units up.

Answer:

√13

Step-by-step explanation:

Let,

( x1, y1 ) = ( 1, 1 )

Here,

x1 = y1 = 1

( x2, y2 ) = ( 3, 4 )

Here,

x2 = 3

y2 = 4

Formula : -

( Distance )² = ( x2 - x1 )² + ( y2 - y1 )²

( Distance )² = ( 3 - 1 )² + ( 4 - 1 )²

                    = 2² + 3²

                    = 4 + 9

( Distance )² = 13

Distance = √13

Answer:

3.61

Step-by-step explanation:

length=[tex]\sqrt{(x_{2}-x_{1} )^{2}+(y_{2}-y_{1} )^{2} )}[/tex]

          =[tex]\sqrt{(3_{}-1_{} )^{2}+(4_{}-1_{} )^{2} )}[/tex]

          = 3.61

The kind of food that will finish and get used up first is the boxes of granola.

Word problem in mathematics is the use of critical understanding of the problem which then employs basic arithmetic operations, fractions, ratios, algebraic expression, etc to solve real-life problems.

From the parameters given:

The time at which the 65 tubs of yogurt will finish:

= 65/4

= 16th rounds with a remainder of 1 tub

The time at which 16 boxes of granola will finish:

= 16/4

= 4th round

A tub of yogurt is roughly 17 ounces while a box of granola is 1 ounce.

Therefore, we can conclude that the kind of food that will finish and get used up first is the boxes of granola.

Learn more about word problems here:

https://brainly.com/question/13818690

Answer:

90 months

Step-by-step explanation:

Let x = number of months

Let y = total cost of deal

Big City Nissan

   y = 3000 + 420x - 840

⇒ y = 2160 + 420x

Rye Town

y = 3960 + 400x

Equate the equations and solve for x

   2160 + 420x = 3960 + 400x

⇒ 420x - 400 x= 3960 - 2160

⇒ 20x = 1800

⇒ x = 90

Answer:

x = 61

y = 29

Step-by-step explanation:

The angle with the measure of 58 degrees and the angle represented by 2x are supplementary because they form a straight line.

2x + 58 = 180 subtract 58 from both sides

2x = 122 divide both sides by 2

x = 61

The angle represented by 2x and the angle represented by 58 are corresponding and their measure is equal to each other

2y = 58 divide both sides by 2

y = 29

Answer:

sh 5 coins=80

sh 10 coins=20

Answer:

c

Step-by-step explanation:

40 cubic units

divide the shape into 2 pieces first.

4 × 4 ×2 = 32

4×2 = 8

32 + 8 = 40

the idea being that, each cube in the stack, is a 1x1x1 = 1 unit³, now if that's so, then, Check the picture below.

Answer:

163.3m²

Step-by-step explanation:

area = Pi(r²)

r = d / 2

r = 12

12² = 144

144 x 3.14 = 452.16

diameter of bigger circle = 24 + 4 (2 on each side)

28 / 2 = 14

14² = 196

196 x 3.14 = 615.44

sidewalk = bigger - smaller

sidewalk = 615.44 - 452.16

sidewalk = 163.3

Answer:

$645.89

Step-by-step explanation:

Answer:

Bottom Right = (2 x 10^-3) x (4 x 10^4) = 8 x 10^1

Step-by-step explanation:

The z-scores for a deta seller making $13 and $17 an hour will be [tex]Z_{13}=0.5 \ \ \ Z_{17}=2.5[/tex]

The z-scores give us information about how many standard deviations from the mean the data are. This difference can be negative, if the data are n deviations to the left of the mean, or it can be positive if the data are n deviations to the right of the mean.

To calculate the Z scores, we calculate the difference between the value of the data and the mean and then divide this difference by the standard deviation.

[tex]Z=\dfrac{X-\mu}{\sigma}[/tex]

Where x is the value of the data, μ is the mean and σ is the standard deviation

In this case :

μ = 12 $/h

[tex]\sigma[/tex] = 2 $/h

We need to calculate the Z-scores for x=17 and x=13

[tex]Z_{13}=\dfrac{13-12}{2}=0.5[/tex]

[tex]Z_{17}=\dfrac{17-12}{2}=2.5[/tex]

Thus the z-scores for a deta seller making $13 and $17 an hour will be [tex]Z_{13}=0.5 \ \ \ Z_{17}=2.5[/tex]

To know more about z-Value follow

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Please mark me brainliest<3

Answer:

They have 23 miles left to travel.

Step-by-step explanation:

If they have 65 miles total to travel and they've already gone 42 miles, 65-42=23

Answer:

B and C are wrong

B: 7.89 x 10^-4

C: 3.15 x 10^2

Step-by-step explanation:

B is not written correctly. The purpose of scientific notation is to get rid of the decimal places with 0s. So instead of 0.789, it should be 7.89 x 10^-4

C is wrong, it should be 3.15 x 10^2

Considering the given profit function, it is found that the interval of values of x for which the company makes a profit is:

d: 9,200, infinite.

Considering x as he number of quarts of oil sold, the monthly profit function is given by:

p(x) = 2.37x + 21,804.

The company makes a profit if p(x) > 0, hence:

p(x) > 0

2.37x + 21,804 > 0

x > 21,804/2.37

x > 9,200.

Which means that option D is correct.

More can be learned about functions at https://brainly.com/question/25537936

Answer:

a = m+30

Step-by-step explanation:

malik is always 30 points under alexia  so in order for malik to be equal to alexia he would have to add an additional 30. i hope this helps :)

Answer:

6 1/2 (mixed) or 25/4 (improper)

Step-by-step explanation:

Firstly, I made the mixed number an improper fraction; 5/4

Then I did the equation;

5/1 x 5/4 = 25/4

25/4 is 6.25 when divided, then made it a fraction; 6 1/4

Hope this helps!

Answer:

man it’s one in the morning and your picture is blurry a f

Step-by-step explanation:

Answer: 58 1/3 in^3.

Step-by-step explanation: To find the volume of a pyramid, you need to multiply the length, width, and height and divide it by 3.  The length and width are both 5 and the height is 7, so the equation is 5 x 5 x 7.  The answer to that is 175.  Now, you have to divide 175 by 3, which is 58.33, or 58 1/3, which is your answer.

Let me know if this is right! :)

-15/-21 -14/x

-15x = -21 * -14

x = -19.6

answer -14c = -19.6 or about -20

answer 3c = .6 or about 1

formula would be

y= 1.2x -3

partial variation means the line doesn't go through (0,0)

Answer:

The correct one is B)

Step-by-step explanation:

Dividing with the same base subtracts the power

Answer:

Or you could also find the area of 2 triangles and one rectangle.

Area of a triangle = bh/2

1st triangle = 6 x 2 = 12

12 ÷2 = 6

2nd triangle = 6x2= 12 ÷ 2 = 6

Area of a rectangle

A=bh

b = 4

h= 6

6x4=24

Now add all the areas to find out the area of the shape, so

6+6+24 =

[tex]36 {ft}^{2} [/tex]

Answer:

x=1/6

Step-by-step explanation:

3x+4=9x+3

isolate x

1=6x

1/6=x

[tex]======================================[/tex]

First, let's move all the x's to the left:

3x+4=9x+3

3x-9x+4=3

Now, move 4 to the right:

3x-9x=3-4

Combine Like Terms:

-6x=-1

Divide both sides by -6:

x=[tex]\displaystyle\frac{1}{6}[/tex]

[tex]=========================================[/tex]

[tex]\mathcal{Diamond}[/tex] ([tex]\boxed{An~Emotional~Helper}[/tex])

because after the exponents it devides

Answer: True

Step-by-step explanation:

Let the point (7, 1) be Point A

Let the perpendicular bisector of the line joining (2,4) and (4,6) be Line PQ; P(2, 4) and Q(4, 6)

If A (7,1) lies on perpendicular bisector of P(2,4) and Q (4, – 6), then AP=AQ

[tex]\begin{aligned}\therefore \quad A P &=\sqrt{\left(2-7\right)^2+\left(4-1\right)^2}\:\\&=\sqrt{5^2+3^2}\\&=\sqrt{25+9}=\sqrt{34} \\\mathrm{and} \ \ \ A &=\sqrt{\left(4-7\right)^2+\left(6-1\right)^2}\: \\&=\sqrt{3^2+5^2} \\&=\sqrt{9+25}=\sqrt{34}\end{aligned}[/tex]

Therefore, (7, 1) does lie on the perpendicular bisector of the line joining (2,4) and (4,6)​

Answer:

11 cm

Step-by-step explanation:

1m = 100cm

By examining the graph carefully, we can see that the record in 1985 is 2.4 m. In 1970 it was slightly under 2.3 m. For it to be 15cm it would have to be 2.25m. For it to be 9 cm it would the record would have been above 2.3m.

Answer:

has the app crashed, if not i dont know

Answer:

1 - 50

5 - 90

10 - 140

50 - 540

Step-by-step explanation:

The rate of change is 10/1, while the Y-intercept is 40. The equation would be Y=10x+40

Answer:

nasa pic yung answer

Step-by-step explanation:

hope its help

correct me if im wrong

Answer:

x=-3 x=-3

Step-by-step explanation:

You have the equation x^2+6x+9=0. So we are tying to find two terms that add to 6 but multiply to 9. Those numbers are 3 and 3. So now we have x^2+3x+3x+9=0. Then factor it to get (x+3) and (x+3) then to isolate x do x+3=0, x=-3 (move 3 to the other side to get x=-3).